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Finding the Fourth Proportional to 4,706.74, 7,046.26 and 3,479.62

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Solution

The fourth proportional to 4,706.74, 7,046.26 and 3,479.62 is: 5,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.74 : 7,046.26 = 3,479.62 : x
  2. Step 2: Convert to fraction form
    4,706.74/7,046.26 = 3,479.62/x
  3. Step 3: Cross multiply
    4,706.74x = 7,046.26 × 3,479.62
  4. Step 4: Simplify right side
    4,706.74x = 24,518,307.22
  5. Step 5: Solve for x
    x = 24,518,307.22/4,706.74
  6. Step 6: Final answer
    x = 5,209.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.